subspace proof

• Dec 6th 2009, 09:14 AM
marcaurel
subspace proof
Hi there,

Be M a set and K a field. Now I shall prove that

V(A) = {f el map(M,K) | f(x)=0, if x isn't el A)

really is a vector subspace of map(M,K) for subset $A \subset M$.

I got more tasks similar to that one and I'ld gladly see how I have to use the terms for subspace-proofs, 'cause I haven't any idea.

Many thanks,
Marc
• Dec 6th 2009, 09:41 AM
Raoh
i don't understand your notations,but to prove that a set is vector subspace,you should prove that is,
V(A) = {f $\in$ map(M,K) | f(x)=0 if x $\not\in$ A)